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Theorem repl-exec

IOAut?(IOAut(start, step, ext)), IOAut?(IOAut(cstart, cstep, cext)), IOAut?(IOAut(astart, astep, aext)), nounsharedextR(cren, cext, ren), nounsharedextR(aren, aext, ren), sameshared(cren, aren, ren), Πok(ext, cext, ren, cren), Πok(ext, aext, ren, aren), exec(Π(IOAut(start, step, ext), IOAut(cstart, cstep, cext), ren, cren))(pcσ, pα), exec(IOAut(astart, astep, aext))(aσ, aα), cext !(πra(step, cstep, ren, cren, pcσ, pα)) = aext !(aα) ⊦ exec(Π(IOAut(start, step, ext), IOAut(astart, astep, aext), ren, aren)) (repls(step, cstep, cren, ren, aren, cext, aext, pcσ, pα, aσ, aα), repla(step, cstep, cren, ren, aren, cext, aext, pcσ, pα, aσ, aα))

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